Self-consistent Description of Bose-Bose Droplets: Harmonically Trapped Quasi-2D Droplets
arXiv:2202.10113 · doi:10.1103/PhysRevA.106.013320
Abstract
We describe a quantum droplet of a Bose-Bose mixture squeezed by an external harmonic forces in one spatial direction. Our approach is based on the self-consistent method formulated in [1]. The true spatial droplet profile in the direction of confinement is accounted for, however local density approximation is assumed in the free directions. We define a numerical approach to find the beyond-mean-field contribution to the chemical potential (Lee-Huang-Yang chemical potential) -- the quantity that determines the droplet's profile. In addition to the numerical approach, we find the Lee-Huang-Yang potential in the analytic form in two limiting cases: a perturbative result for a strong confinement and a semiclassical expression when confinement is very weak.
References in corpus (8)
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Self-bound droplets of a dilute magnetic quantum liquid
- Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
- Liquid quantum droplets of ultracold magnetic atoms
- Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
- N-conserving Bogoliubov vacuum of a two component Bose-Einstein condensate: Density fluctuations close to a phase separation condition
- Towards a QMC-based density functional including finite-range effects: excitation modes of a K quantum droplet
- Beyond-mean-field corrections for dipolar bosons in an optical lattice